Zobrazeno 1 - 10
of 211
pro vyhledávání: '"Gobbino, Massimo"'
Autor:
Ghisi, Marina, Gobbino, Massimo
We consider a wave equation with a time-dependent propagation speed, whose potential oscillations are controlled through bounds on its first and second derivatives and by limiting the integral of the difference with a fixed constant. We investigate w
Externí odkaz:
http://arxiv.org/abs/2410.11483
Autor:
Ghisi, Marina, Gobbino, Massimo
We consider an abstract linear wave equation with a time-dependent dissipation that decays at infinity with the so-called scale invariant rate, which represents the critical case. We do not assume that the coefficient of the dissipation term is smoot
Externí odkaz:
http://arxiv.org/abs/2312.15531
Autor:
Gobbino, Massimo, Picenni, Nicola
We investigate the asymptotic behavior of minimizers for the singularly perturbed Perona-Malik functional in one dimension. In a previous study, we have shown that blow-ups of these minimizers at a suitable scale converge to staircase-like piecewise
Externí odkaz:
http://arxiv.org/abs/2311.14565
Autor:
Gobbino, Massimo, Picenni, Nicola
We consider a family of non-local and non-convex functionals, and we prove that their Gamma-liminf is bounded from below by a positive multiple of the Sobolev norm or the total variation. As a by-product, we answer some open questions concerning the
Externí odkaz:
http://arxiv.org/abs/2311.05560
Autor:
Gobbino, Massimo, Picenni, Nicola
We consider generalized solutions of the Perona-Malik equation in dimension one, defined as all possible limits of solutions to the semi-discrete approximation in which derivatives with respect to the space variable are replaced by difference quotien
Externí odkaz:
http://arxiv.org/abs/2304.04729
Autor:
Ghisi, Marina, Gobbino, Massimo
It is well-known that the life span of solutions to Kirchhoff equations tends to infinity when initial data tend to zero. These results are usually referred to as almost global existence, at least in a neighborhood of the null solution. Here we exten
Externí odkaz:
http://arxiv.org/abs/2302.09873
Autor:
Ghisi, Marina, Gobbino, Massimo
It is well-known that the classical hyperbolic Kirchhoff equation admits infinitely many simple modes, namely time-periodic solutions with only one Fourier component in the space variables. In this paper we assume that, for a suitable choice of the n
Externí odkaz:
http://arxiv.org/abs/2211.06711
Autor:
Ghisi, Marina, Gobbino, Massimo
We prove that the classical hyperbolic Kirchhoff equation admits global-in-time solutions for some classes of initial data in the energy space. We also show that there are enough such solutions so that every initial datum in the energy space is the s
Externí odkaz:
http://arxiv.org/abs/2208.05400
Autor:
Gobbino, Massimo, Picenni, Nicola
We consider the Perona-Malik functional in dimension one, namely an integral functional whose Lagrangian is convex-concave with respect to the derivative, with a convexification that is identically zero. We approximate and regularize the functional b
Externí odkaz:
http://arxiv.org/abs/2205.02467
Autor:
Gobbino, Massimo, Ghisi, Marina
We consider an abstract wave equation with a propagation speed that depends only on time. We assume that the propagation speed is differentiable for positive times, continuous up to the origin, but with first derivative that is potentially singular a
Externí odkaz:
http://arxiv.org/abs/2109.00496